一类线性切换系统的非脆弱控制器设计方法  

Design Methods of Non-fragile Controllers for a Class of Linear Switched Systems

作　　者：李春娟[1] 何墉[1] 

机构地区：[1]洛阳理工学院电气工程与自动化系,河南洛阳471023

出　　处：《计算技术与自动化》2010年第2期11-14,共4页Computing Technology and Automation

基　　金：河南省教育厅自然科学研究计划项目(2008B510016)

摘　　要：研究一类线性切换系统的非脆弱控制器的设计问题。分别考虑当系统的控制器增益存在加性摄动和乘性摄动时,利用公共Lyapunov函数法给出切换闭环系统混杂状态反馈控制器存在的条件,并通过变量替换和Schur补引理将非脆弱控制器的设计问题转换为线性矩阵不等式(LMI)的求解问题。通过仿真证实所提方法的有效性。Non-fragile controllers of a class of linear switched systems was studied.Considering the controller gains to be designed is assumed to have additive and mutiplicative gain variations,a condition for the existence of non-fragile hybrid state-feedback controller of closed-loop switched system.The corresponding results are all given in terms of linear matrix inequalities（LMI） by means of wariable substitution and Schur complement theorem.The validity of the conclusion was proved by the simulation results.

关 键 词：线性切换系统 公共Lyapunov函数 非脆弱控制器 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]